The equation is at the top, the steps are in between, and the answer is at the bottom
hope this helps
Answer:
√10 / 10
Step-by-step explanation:
tan θ > 0 and sin θ < 0, so θ is in quadrant III. That means cos θ < 0.
cos(θ + π/4)
Use angle sum formula.
cos θ cos(π/4) − sin θ sin(π/4)
½√2 cos θ − ½√2 sin θ
Factor.
½√2 cos θ (1 − tan θ)
½√2 cos θ (1 − 2)
-½√2 cos θ
Write in terms of secant.
-½√2 / sec θ
Use Pythagorean identity (remember that cos θ < 0).
-½√2 / -√(1 + tan²θ)
-½√2 / -√(1 + 2²)
½√2 / √5
√10 / 10
X 2^(-x) 4^(x+3)
-3 8 1
-2 4 4
-1 0 16
0 1 64
1 0.5 256
2 0.25 1024
3 0.125 4096
The solution is x = -2 because both functions return the same value, i.e. 4.
GCF(y(x² + 2) + 3(x² + 2)) = x² + 2
(y - 3)(x² + 2)
y(x² + 2) - 3(x² + 2)
y(x²) + y(2) - 3(x²) - 3(2)
x²y + 2y - 3x² - 6
x²y - 3x² + 2y - 6
(y - 3)x² + 2y - 6
